I’m running Ventura 13.5.2 (current) with FCP 10.6.9 with no problem.
Plugins I use: Waves, FXFactory, CoreMelt, motionVFX, a bunch I made myself in Motion, and a few stragglers from various known forum members. One bad experience with PixelFilmStudios put them on my blacklist. I do get an occasional crash from the CoreMelt plugs that aren’t ARM native yet (most are), since my primary rig is an M2 Studio, but even those are rare and harmless.
Go through your plugins and make sure they’re up to date. Don’t upgrade in the middle of a project. Clone your boot drive and give it a whirl, just remember that any library you open will be modified for the new version, so maybe make a copy of one library and open the copy while you test.
EDIT: there’s also a new Pro Video Formats update so if you update FCP, get the new format update (System settings / General / SW Update) to go with it.